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3. Two risky assets with returns ri, r2 and standard deviations 01, 02, and correlation p. Calculate the weights for the foll

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Answer #1

a.

Weight for Minimum volatility Portfolio:

- 01 * 02 * P1,2 + 03 - 2*01 * 02 * P1,2 W o

W2 = (1 - 1)

where,

\rho _{1,2} = Correlation between Asset-1 and Asset-2

\sigma = Standard deviation

b.

Optimal portfolio has Maximum Sharpe Ratio. We can compute the weights of optimal portfolio or Maximum sharpe ratio portfolio with following equation:

(ri - rf) * o - (r2 - rf) * P1,2 * 01 * 02 (ri - rp) * o£ + (r2 - rp) * o - [(r1 - rp) +(r2 - rp)]**p1,2 * 01 * 02

where,

r1 = Return of Asset-1

r2 = Return of Asset -2

rf = risk free return

\rho _{1,2} = Correlation between Asset-1 and Asset-2

\sigma = Standard deviation

And,

W2 = (1 - 1)

Hope it will help, please do comment if you need any further explanation. Your feedback would be highly appreciated.

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